First slide

Heat engine

Question

Carnot engine takes in 3000 k cal of heat from a reservoir at 627°C and gives it to a sink at 27°C. The work done by the engine is:

Easy

A

$4.2 X 10^{6} J$
B

$8.4 x 10^{6} J$
C

$16 . 8 X 10^{6} J$
D

zero

Solution

$η = 1 - \frac{T_{2}}{T_{1}} = \frac{W}{Q_{1}} \Rightarrow W = Q_{1} (1 - \frac{T_{1}}{T_{2}}) = 3000 (1 - \frac{300}{900}) = 2000 kcal = 8.4 \times 10^{6} J$

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